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Simplifying 5(3s + -7) = 10(s + -1) Reorder the terms: 5(-7 + 3s) = 10(s + -1) (-7 * 5 + 3s * 5) = 10(s + -1) (-35 + 15s) = 10(s + -1) Reorder the terms: -35 + 15s = 10(-1 + s) -35 + 15s = (-1 * 10 + s * 10) -35 + 15s = (-10 + 10s) Solving -35 + 15s = -10 + 10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10s' to each side of the equation. -35 + 15s + -10s = -10 + 10s + -10s Combine like terms: 15s + -10s = 5s -35 + 5s = -10 + 10s + -10s Combine like terms: 10s + -10s = 0 -35 + 5s = -10 + 0 -35 + 5s = -10 Add '35' to each side of the equation. -35 + 35 + 5s = -10 + 35 Combine like terms: -35 + 35 = 0 0 + 5s = -10 + 35 5s = -10 + 35 Combine like terms: -10 + 35 = 25 5s = 25 Divide each side by '5'. s = 5 Simplifying s = 5
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